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Finding the Fourth Proportional to 7,791, 11,683.72 and 2,524.74

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Solution

The fourth proportional to 7,791, 11,683.72 and 2,524.74 is: 3,786.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,791 : 11,683.72 = 2,524.74 : x
  2. Step 2: Convert to fraction form
    7,791/11,683.72 = 2,524.74/x
  3. Step 3: Cross multiply
    7,791x = 11,683.72 × 2,524.74
  4. Step 4: Simplify right side
    7,791x = 29,498,355.23
  5. Step 5: Solve for x
    x = 29,498,355.23/7,791
  6. Step 6: Final answer
    x = 3,786.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.